An electronics store sells two different brands of DVD players. The store reports that 30% of customers purchasing a DVD choose Brand 1. Of those that choose Brand 1, 20% purchase an extended warranty. Consider the chance experiment of randomly selecting a customer who purchased a DVD player at this store.
a. One of the percentages given in the problem specifies an unconditional probability, and the other percentage specifies a conditional probability. Which one is the conditional probability, and how can you tell?
b. Suppose that two events B and E are defined as follows: B = selected customer purchased Brand 1 E = selected customer purchased an extended warranty Use probability notation to translate the given information into two probability statements of the form P(____) = probability value.